Describe three experiments that would use the three different t-tests
Suppose the president of a company wants to claim that the average annual income in his company is greater than 50000 dollars. He asks the statistician to conduct a formal test to check if his claim is correct. So the statistician collects the data on annual income for all employess and perform the one sample t test for means. So null hypothesis is that mean is 50000 vs. alternative hypothesis is that mean is larger than 50000. He calculates the test statistic based on the data and determine the p-value. If the p-value is very small, he rejects the null hypothesis and concludes that the average annual income in his company is greater than 50000 dollars.
Suppose the ...
The solution describe 3 experiments that would use the three different t-tests: one sample t test, t test for two dependent samples and t test for two independent samples.